This work introduces two new curves that are multivariate generalizations of the “classical” Lorenz curve. All data of d-variate distributions can be visualized by drawing these curves in the plane, whereas Koshevoy’s and Mosler’s generalization by a lift zonoid in ℝd+1 can only be drawn for d = 2. The generalizations of the Lorenz curve induce partial orderings of d-variate distributions. Furthermore, two inequality or heterogeneity measures that are consistent with the induced rankings are proposed. They can be considered as (...) new generalizations of the univariate Gini coefficient. For deciding which of the two measures is more appropriate for measuring a sort of convergence concerning different countries of an union or of regions of a country, we establish systems of axioms. Although these systems are reflecting natural properties, several of the axioms are new. Moreover, by means of these axioms well- known inequality measures are tested, too. (shrink)

This paper explores how current United States policies for funding nonreproductive cloning are justified and argues against that justification. I show that a common conceptual framework underlies the national prohibition on the use of public funds for cloning research, which I call the simple argument. This argument rests on two premises: that research harming human embryos is unethical and that embryos produced via fertilization are identical to those produced via cloning. In response to the simple argument, I challenge the latter (...) premise. I demonstrate there are important ontological differences between human embryos (produced via fertilization) and clone embryos (produced via cloning). After considering the implications my argument has for the morality of publicly funding cloning for potential therapeutic purposes and potential responses to my position, I conclude that such funding is not only ethically permissible, but also humane national policy. (shrink)